N=4 superconformal mechanics as a Non linear Realization

Abstract

An action for a superconformal particle is constructed using the non linear realization method for the group PSU(1,1|2), without introducing superfields. The connection between PSU(1,1|2) and black hole physics is discussed. The lagrangian contains six arbitrary constants and describes a non-BPS superconformal particle. The BPS case is obtained if a precise relation between the constants in the lagrangian is verified, which implies that the action becomes kappa-symmetric.

new subection, references added and new acknowledgments

References in corpus (14)

• Super D-branes
• Black Holes and Superconformal Mechanics
• Superconformal mechanics, black holes, and non-linear realizations
• The Geometry of (Super) Conformal Quantum Mechanics
• Superconformal Black Hole Quantum Mechanics
• Superconformal Multi-Black Hole Quantum Mechanics
• New variant of N=4 superconformal mechanics
• Super 0-brane and GS Superstring Actions on AdS_2 \times S^2
• Conformal and Superconformal Mechanics Revisited
• Monopole Chern-Simons Term: Charge-Monopole System as a Particle with Spin
• The 0-brane action in a general D=4 supergravity background
• Kappa-Symmetry of Green-Schwarz Actions in Coset Superspaces
• Diffeomorphism, kappa transformations and the theory of non-linear realisations
• AdS and pp-wave D-particle superalgebras

Cited by in corpus (16)

• N=4 superconformal Calogero models
• Superintegrable models related to near horizon extremal Myers-Perry black hole in arbitrary dimension
• Particle dynamics on AdS_2 x S^2 background with two-form flux
• New Model of N=8 Superconformal Mechanics
• The Non-Relativistic Superparticle in a Curved Background
• Near horizon extremal Myers-Perry black holes and integrability of associated conformal mechanics
• Nonlinear symmetries of perfectly invisible $PT$-regularized conformal and superconformal mechanics systems
• Reducibility of Killing tensors in d>4 NHEK geometry
• N=2 superparticle near horizon of a magnetized Kerr black hole
• Super 0--brane action on the coset space of $D(2,1;\alpha )$ supergroup
• $SU(1,1|N)$ superconformal mechanics with fermionic gauge symmetry
• Integrable models associated with Myers-Perry-AdS-dS black hole in diverse dimensions
• On $OSp(N|2)$ superconformal mechanics
• Remark on near-horizon geometry of extreme regular black holes
• A non-lorentzian primer
• A general action for a particle in 2+1 anti-de Sitter space